4238780040 has 576 divisors, whose sum is σ = 16213317120. Its totient is φ = 958003200.

The previous prime is 4238780027. The next prime is 4238780089. The reversal of 4238780040 is 400878324.

4238780040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4238779977 and 4238780004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58065444 + ... + 58065516.

It is an arithmetic number, because the mean of its divisors is an integer number (28148120).

Almost surely, 2^4238780040 is an apocalyptic number.

4238780040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238780040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106658560).

4238780040 is an abundant number, since it is smaller than the sum of its proper divisors (11974537080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4238780040 is a wasteful number, since it uses less digits than its factorization.

4238780040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4238780040 is about 65105.9140170845. The cubic root of 4238780040 is about 1618.3792203162.

The spelling of 4238780040 in words is "four billion, two hundred thirty-eight million, seven hundred eighty thousand, forty".